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102001223232020 = 22572295901351749
BaseRepresentation
bin10111001100010100000010…
…101011010110101000010100
3111101011012222121220000010102
4113030110002223112220110
5101332142001121411040
61000534414241513232
730325226254015400
oct2714240253265024
9441135877800112
10102001223232020
112a556526391312
12b53462b342818
1344bb89bc47038
141b28c57d1c100
15bbd444d76515
hex5cc502ad6a14

102001223232020 has 72 divisors (see below), whose sum is σ = 249175967229000. Its totient is φ = 34971630355200.

The previous prime is 102001223232019. The next prime is 102001223232049. The reversal of 102001223232020 is 20232322100201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10847880006544 + 91153343225476 = 3293612^2 + 9547426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102001223231983 and 102001223232001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289807106 + ... + 290158854.

It is an arithmetic number, because the mean of its divisors is an integer number (3460777322625).

Almost surely, 2102001223232020 is an apocalyptic number.

102001223232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001223232020 is an abundant number, since it is smaller than the sum of its proper divisors (147174743996980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102001223232020 is a wasteful number, since it uses less digits than its factorization.

102001223232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647673 (or 647664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102001223232020 its reverse (20232322100201), we get a palindrome (122233545332221).

The spelling of 102001223232020 in words is "one hundred two trillion, one billion, two hundred twenty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 295901 351749 591802 703498 1183604 1406996 1479505 1758745 2071307 2462243 2959010 3517490 4142614 4924486 5918020 7034980 8285228 9848972 10356535 12311215 14499149 17235701 20713070 24622430 28998298 34471402 41426140 49244860 57996596 68942804 72495745 86178505 144991490 172357010 289982980 344714020 104082880849 208165761698 416331523396 520414404245 728580165943 1040828808490 1457160331886 2081657616980 2914320663772 3642900829715 5100061161601 7285801659430 10200122323202 14571603318860 20400244646404 25500305808005 51000611616010 102001223232020